This is a very nitpicky question. As I see it, the 3 main concepts tested are:
Above the level of the brainstem (thalamus & cerebral cortex), you have second order sensory neurons. Lesions in this part of the circuit are not generally in trigeminal neuralgia. I suppose they also want us to assume that once the spinal tract of the trigeminal enters the medulla, it's not myelinated anymore. I don't think this is completely true, but given the logic described above, pons would still be the better answer.
As people have pointed out, the primary sensory fibers carrying light touch sensation from the face synapse on the chief sensory nucleus in the pons immediately after they enter the pons. This question is not asking about those fibers though.
I got the question wrong too..
The mnincmeo I ekil rfo rmeminreegb hte locations fo eht acnalir vrnsee is eth 42,,2,4" ulr"e
eAobv st=ibmaren CN I + rbdIiMin =aI NC II,I I=VP nso CN V, ,IV I,IV eIdI Mla=IVlu NC XI, ,X XI, IIX
iPneirclp orneSys ulcesuN of eht iTngrmieal si ceadolt ni hte Pn,os as is eht roMot Tinigeraml Neclsuu fo eth sno.p ihsT naitrtoesnpe si aplyobrb iglaedn oemr iwht eth celrinpiP neSsoyr Nuscule.
hTe snpo has seevrn 8-5, so the rigiaemtnl dwuol eb cedeaftf eher
I do urednntdas atht eht rnapiclip luscune of het tngelmiria enrve si oltcdea at het psn.o tuB insec tsih eitpatn si anvhgi iltgrianme niaruagel dwul'nto oyu eb tidgrinups het ywptaah vnedviol in aipn dna tetrpa,umere hiwch in this acse dwluo eb eth nplias lecsuun eoald(ct in het ela)d?lmu
eBs,dsie I ofdnu isht at an erltica
A ecnrte ohhsptyise eritsutatb eht npia fo atrnieligm iargeaunl ot a trcanel ashmmeicn viiolnngv eht spar lisrao fo eht spnlai imagtenlir .]cusuenl5[
SM is a eaiyltmgenidn edsise.a st'Tha yhw I dnid't ckip tocerx ro mtlahua;s tyhe aer egyr trmea.t I kcedip dluelma euasecb I hte tienpoaminlisgr evnsre raesrevt hte leau.dlm I guess ew rea jtsu esoppuds to ueassm het aieltnnoideym si phnepigan in teh n?sop I otnd' ko.nw
Per boards and beyond, in the lateral pons is there is the spinal V nucleus which carries contralateral pain and temperature. Knowing that + CN V arises it in the pons, I went with pons. The only other option I had left not crossed out was cerebral hemisphere but that seemed to broad.
theres an association made in 2017 with trigeminal neuralgia and MS - which is what i think this pt has. key thing to note is that while all motor and sensory fibers of CN 5 enter at the level fo the pons (however some also do enter at the level of medulla and even the sc via the spinal tract of 5 to synapse with the long sensory nucleus of 5) heres the link of trigeminal neuralgia and MS: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5649347/